Conservation laws of coupled semilinear wave equations
Stephen C. Anco, Chaudry Masood Khalique
TL;DR
This paper classifies all low-order conservation laws for a coupled semilinear wave system, extending the nonlinear Klein-Gordon equation, and discusses the physical significance of these conserved quantities.
Contribution
It provides a complete classification of conservation laws for coupled semilinear wave equations, a novel extension of the nonlinear Klein-Gordon framework.
Findings
Derived conserved quantities and their physical interpretations
Complete classification of low-order conservation laws
Extension of Klein-Gordon equation to coupled systems
Abstract
A complete classification of all low-order conservation laws is carried out for a system of coupled semilinear wave equations which is a natural two-component generalization of the nonlinear Klein-Gordon equation. The conserved quantities defined by these conservation laws are derived and their physical meaning is discussed.
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